SOLUTION: How many ways can the positions of center midfielder, striker, and center back be assigned from the starting ten field players of a soccer team?
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Question 1116420: How many ways can the positions of center midfielder, striker, and center back be assigned from the starting ten field players of a soccer team? Found 2 solutions by Boreal, ikleyn:Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! I'm assuming (not knowing cricket) that these are unique positions that are filled by one and only one person.
Then it is 10C3=10!/7!*3!
This is 10*9*8/6=120 ways
In this problem the order does matter.
(When the positions are named, the order of assigning DOES MATTER.)
So, it is about permutations and not about combinations.
The correct answer is: in 10*9*8 = 720 ways.
